A366062 Lexicographically earliest infinite sequence of distinct nonnegative integers such that for any k > 0, the k-th binary digit in the even bisection is different from the k-th binary digit in the odd bisection.
0, 2, 4, 1, 3, 8, 5, 9, 16, 14, 10, 20, 6, 11, 17, 18, 21, 19, 32, 28, 12, 13, 33, 56, 24, 29, 34, 26, 22, 36, 25, 48, 57, 49, 50, 40, 58, 41, 51, 35, 64, 7, 15, 65, 37, 80, 59, 66, 52, 27, 67, 96, 112, 30, 23, 128, 60, 53, 81, 97, 113, 98, 104, 114, 105, 99
Offset: 0
Examples
The even and odd bisections, in decimal and in binary, begin as follows: a(2n) |0| 4 | 3 | 5 | 16 | 10 | 6 | 17 | 21 |... bin(a(2n)) |0|1 0 0|1 1|1 0 1|1 0 0 0 0|1 0 1 0|1 1 0|1 0 0 0 1|1 0 1 0 1|... bin(a(2n+1)) |1 0|1|1 0 0 0|1 0 0 1|1 1 1 0|1 0 1 0 0|1 0 1 1|1 0 0 1 0|... a(2n+1) | 2 |1| 8 | 9 | 14 | 20 | 11 | 18 |...
Links
- Rémy Sigrist, PARI program
Crossrefs
Cf. A333010.
Programs
-
PARI
See Links section.
Comments